GAP Package AtlasRep

AtlasRep Info for A12

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Representations for G = A12: (all refer to std. generators 1)
1 G ≤ Sym(12) 10-trans., on cosets of A11 (1st max.)
2 G ≤ Sym(66) rank 3, on cosets of S10 (2nd max.)
3 G ≤ Sym(220) rank 4, on cosets of (A9 × 3):2 (3rd max.)
4 G ≤ Sym(462) rank 4, on cosets of (A6 × A6):22 (4th max.)
5 G ≤ Sym(495) rank 5, on cosets of (A8 × A4):2 (5th max.)
6 G ≤ Sym(792) rank 6, on cosets of (A7 × A5):2 (6th max.)
7 G ≤ Sym(2520) rank 4, on cosets of M12 (7th max.)
8 G ≤ GL(10,2)  
9 G ≤ GL(44,2)  
10 G ≤ GL(100,2)  
11 G ≤ GL(10,3)  
12 G ≤ GL(45,3)  
13 G ≤ GL(54,3)  
14 G ≤ GL(16a,4)  
15 G ≤ GL(16b,4)  
16 G ≤ GL(11,5)  
17 G ≤ GL(43,5)  
18 G ≤ GL(55,5)  
19 G ≤ GL(89,5)  
20 G ≤ GL(11,ℤ)  
21 G ≤ GL(54,ℤ)  
22 G ≤ GL(55,ℤ)  
23 G ≤ GL(132,ℤ)  
24 G ≤ GL(154,ℤ)  
25 G ≤ GL(165,ℤ)  
Programs for G = A12: (all refer to std. generators 1)

File created automatically by GAP on 22-Apr-2022.